knife edge

the cutting edge of a knife.
anything very sharp.
a wedge on the fine edge of which a scale beam, pendulum, or the like, balances or oscillates.

1810–20 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
knife edge
1.  the sharp cutting edge of a knife
2.  any sharp edge
3.  a sharp-edged wedge of hard material on which the beam of a balance pivots or about which a pendulum is suspended
4.  a critical point in the development of a situation, process of making a decision, etc

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
The razor blade was being used as a knife edge in optical measurements.
Sick of being permanently on knife edge re pregnancy.
When placed together, the bars met at a blunt knife edge and a polished agate plate.
Tape casting consists of forming a thin film of ceramic slurry of controlled thickness onto a support surface using a knife edge.
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